Shot noise of a mesoscopic two-particle collider

TL;DR

This paper studies the shot noise generated by a mesoscopic capacitor emitting particles into an edge state, analyzing how it depends on transmission, reflection, and emission timing, revealing interference effects.

Contribution

It provides a detailed analysis of shot noise in a mesoscopic two-particle collider, including effects of coupling and emission coincidence, advancing understanding of quantum noise in mesoscopic systems.

Findings

Shot noise is proportional to the number of emitted particles and the QPC transmission/reflection probabilities.

When two capacitors are coupled, the total shot noise is approximately the sum of individual noises.

Noise suppression occurs when emissions of identical particles from two sources coincide.

Abstract

We investigate the shot noise generated by particle emission from a mesoscopic capacitor into an edge state reflected and transmitted at a quantum point contact (QPC). For a capacitor subject to a periodic voltage the resulting shot noise is proportional to the number of particles (both electrons and holes) emitted during a period. It is proportional to the product of transmission and reflection probability of the QPC independent of the applied voltage but proportional to the driving frequency. If two driven capacitors are coupled to a QPC at different sides then the resulting shot noise is maximally the sum of noises produced by each of the capacitors. However the noise is suppressed depending on the coincidence of the emission of two particles of the same kind.